Least Common Multiple of 43/308, 186/190, 379/264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/308, 186/190, 379/264 quickly i.e. 1515621 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/308, 186/190, 379/264 is 1515621.

LCM(43/308, 186/190, 379/264) = 1515621

LCM of 43/308, 186/190, 379/264

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 43/308,186/190,379/264

Given numbers are 43/308,186/190,379/264

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 43,186,379

Least Common Multiple of Numerators i.e. LCM of 43,186,379 is 3031242.

GCF of Denominators means GCF of 308,190,264 as per the given fractions.

GCF of 308,190,264 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,186,379

LCM of Fractions 43/308,186/190,379/264 is 1515621

Given numbers has no common factors except 1. So, there LCM is their product i.e 3031242

Least Common Multiple of 43,186,379 with GCF Formula

Least Common Multiple of 43,186,379 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 43,186,379 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,186,379) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(43,186,379) x common factors =1 x 1 = 1

LCM(43,186,379) = ( 43 × 186 × 379 ) / 1

LCM(43,186,379) = 3031242 / 1

LCM(43,186,379) = 3031242


Lets's calculate GCF of 308,190,264

2 308, 190, 264
154, 95, 132

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3031242/2

Therefore the LCM of Fractions 43/308,186/190,379/264 is 1515621

Greatest Common Factor of 308,190,264 By Matching Biggest Common Factor Method

Greatest Common Factor of 308,190,264 By Matching Biggest Common Factor Method

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Factors of 190

List of positive integer factors of 190 that divides 190 without a remainder.

1,2,5,10,19,38,95,190

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Greatest Common Factor

We found the factors 308,190,264 . The biggest common factor number is the GCF number.
So the greatest common factor 308,190,264 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 43/308, 186/190, 379/264

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 43/308, 186/190, 379/264?

Answer: LCM of Numerators as per given numbers 43/308, 186/190, 379/264 is

LCM of Numerators i.e. for 43,186,379 is 3031242

GCF of denominators i.e. for 308,190,264 is 2.

Thus, LCM of Fractions is 1515621.Finally, LCM of Fractions for 43/308, 186/190, 379/264 is 1515621.